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SUMMARY:Modelling liquid-vapor phase change with metastable states
DTSTART;VALUE=DATE-TIME:20161213T080000Z
DTEND;VALUE=DATE-TIME:20161213T084500Z
DTSTAMP;VALUE=DATE-TIME:20211016T183309Z
UID:indico-contribution-578@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hélène Mathis (Université de Nantes)\nWe propose
a model of liquid-vapor phase transition including metastable\nstates of t
he van der Waals Equation of State. The first part of the talk concerns\nt
he thermodynamics model. Following the second principle\, the problem boil
s\ndown to a minimization problem with constraints of the mixture energy.
This\n”static” description allows to recover the classical equilibria:
pure liquid/vapor\nstates and a coexistence state (given by the Maxwell e
qual area rule). Then\,\nwhen assuming a dependency with respect to time\,
we define a dynamical sys-\ntem with long time equilibria which are eithe
r the classical equilibria or the\nmetastable states. In a second part of
the talk\, we use the dynamical system\nas a source term of a two-phase is
othermal model. The homogeneous model\nis hyperbolic under condition. Howe
ver for smooth solutions\, we manage to\nprove that the regions of hyperbo
lically are invariant domains. We finish with\nsome numerical experiments\
, obtained by a finite volume scheme and a splitting\ntechnique to handle
the source term.\n\nhttps://indico.math.cnrs.fr/event/1577/contributions/5
78/
LOCATION:Institut Henri Poincaré Amphi Hermite
URL:https://indico.math.cnrs.fr/event/1577/contributions/578/
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